Fixed Points of Contractive Type Maps in Cone Metric Space over Banach Algebra

Common Fixed Points of Generalized Contractive Maps in Cone Metric Spaces

On some open problems in cone metric space over Banach algebra

In this paper we prove an analogue of Banach and Kannan fixed point theorems by generalizing the Lipschitz constat $k$, in generalized Lipschitz mapping on cone metric space over Banach algebra, which are answers for the open problems proposed by Sastry et al, [K. P. R. Sastry, G. A. Naidu, T. Bakeshie, Fixed point theorems in cone metric spaces with Banach algebra cones, Int. J. of Math. Sci. ...

common fixed points of generalized contractive maps in cone metric spaces

Common Fixed Point in Cone Metric Space for $mathbf{s}-mathbf{varphi}$-contractive

Huang and Zhang cite{Huang} have introduced the concept of cone metric space where the set of real numbers is replaced by an ordered Banach space. Shojaei cite{shojaei} has obtained points of coincidence and common fixed points for s-Contraction mappings which satisfy generalized contractive type conditions in a complete cone metric space.In this paper, the notion of complete cone metric ...

Common fixed points of two maps in cone metric spaces

We prove the existence of points of coincidence and common fixed points of a pair of self mappings satisfying a generalized contractive condition in cone metric spaces. Our results generalize several well-known recent and classical results.